I Find the equations of tangent and normal lines of the curves at given points: a. x3 + y² – 3xy = 0 at(2,4) IL Find the acute angle between two tangent lines at point of intersection between two curves xy = 32 and y² = 16x III Locate the possible max and min points and pt/s of inflection y = x3 + 6x² + 9x IV Problem Solving 1.The volume of a cube is increasing at the rate of 6cm³ /min. How fast is the surface area increasing when the length of an edge is 12 cm? (know the formula of surface area of a cube). 2. Find the height of a circular cylinder of max. volume that can be cut from a spherical wood of radius 16in.
I Find the equations of tangent and normal lines of the curves at given points: a. x3 + y² – 3xy = 0 at(2,4) IL Find the acute angle between two tangent lines at point of intersection between two curves xy = 32 and y² = 16x III Locate the possible max and min points and pt/s of inflection y = x3 + 6x² + 9x IV Problem Solving 1.The volume of a cube is increasing at the rate of 6cm³ /min. How fast is the surface area increasing when the length of an edge is 12 cm? (know the formula of surface area of a cube). 2. Find the height of a circular cylinder of max. volume that can be cut from a spherical wood of radius 16in.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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